1997/05/27 by Christian von Ferber, Yurij Holovatch
Physics and Astronomy · #cond-mat
published as Renormalization Group 96, D.V. Shirkov et al. eds. (JINR, Dubna 1997) p.123 · 14 pages, revtex, 2 latex pictures
arxiv created 1997/05/27 · arxiv updated 2009/11/30
While multifractal spectra are convex, general field theoretic arguments show that power of field operators ϕf yield a concave spectrum of exponents as function of f. This is resolved by appropriate choice of operators to describe multifractal moments. In a Lagrangian field theory of two mutually interacting species of fields ϕ,ψ, operators Of'f=ψf'ϕf with traceless symmetry give rise to multifractal spectra of harmonic diffusion near absorbing fractals when evaluated for zero component fields.